{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to CUDA-Q Dynamics (Jaynes-Cummings Model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Why dynamics simulations vs. circuit simulations?\n",
    "CUDA-Q Dynamics is a powerful library enabling GPU-accelerated simulations of the time evolution of open and closed quantum systems. In contrast to quantum circuit simulation, which simulates the algorithmic output of the application of discrete logical quantum gates (eg X, Y, Z, CNOT, H, etc), dynamics simulations represent how quantum systems evolve in *time*, revealing important insights about the non-idealities of a quantum system, including how they interact with the environment and other quantum systems.\n",
    "\n",
    "To make a classical analogy, the logic of a classical computer can be modeled using binary logic gates applied to transistor states, analogous to simulating the application of quantum logic gates to qubits. Dynamics simulations are an abstraction layer below this. Classically, to design better and higher-performing transistors, it's useful to fully model the device physics of the transistor itself, including fluctuations in voltage, capacitance, and current. Analogously, quantum dyanmics simulations can fully capture the physics of components beyond just the qubits, including drive pulses, resonators, couplers, and noise."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![alt text 2](images/Benchmarks.png)\n",
    "\n",
    "Figure 1. Classical computing can be a helpful analogy for understanding the difference between algorithm and dynamics simulations. Image credits: Fredrik Brange (top right) and qutip-qip (bottom right)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Functionality\n",
    "\n",
    "CUDA-Q dynamics provides an easy API, `evolve`, to solve the Schrodinger and Lindblad Master equation, as well as number of commonly used [operators](https://nvidia.github.io/cuda-quantum/latest/using/dynamics.html#operator) to construct Hamiltonians. The basic order of operations is similar to other quantum dynamics frameworks. \n",
    "1. Define:\n",
    "    - The dimensions of the system\n",
    "    - The Hamiltonian\n",
    "    - The initial state of the system\n",
    "    - Any dissipation terms\n",
    "    - The timesteps desired\n",
    "2. Evolve!\n",
    "\n",
    "Conveniently, this is the same programming model and API used to submit CUDA-Q jobs to analog quantum computers like QuEra and Pasqal. For simulation workloads, we also provide several commonly used [numerical integrators](https://nvidia.github.io/cuda-quantum/latest/using/dynamics.html#numerical-integrators).\n",
    "\n",
    "In addition to this higher level functionality, we also provide a lower level library called [cuDensityMat](https://docs.nvidia.com/cuda/cuquantum/latest/cudensitymat/index.html) which provide the building blocks for accelerating custom solvers and other dynamics frameworks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Performance\n",
    "CUDA-Q Dynamics shines for *large* system sizes, as is the case for most GPU workloads. We will see maximal speed-ups over CPU implementations with Hilbert spaces larger than $O(1000)$ levels. For systems of this size and larger, it is common to see speed-ups of >1000x. A benchmark modeling 100 timesteps of a system consisting of a 32-level transmon, 256-level resonator, and 4-level Purcell filter yielded a 1,140x speed-up in execution from single CPU (dual-socket Intel Xeon 8480CL) to single GPU (H100), or 1.5 days to 2 minutes.\n",
    "\n",
    "CUDA-Q Dynamics also provides multi-GPU and multi-node capabilities to both increase the performance and scale of simulations. Additional GPUs can be pooled for additional memory to simulate larger systems (weak-scaling). Alternatively, with a fixed system size, additional GPUs can be pooled for increase performance (strong-scaling).\n",
    "\n",
    "Full details of the benchmarks can be found in the blog [here](https://developer.nvidia.com/blog/accelerating-googles-qpu-development-with-new-quantum-dynamics-capabilities/)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 1 - Simulating the Jaynes-Cummings Hamiltonian\n",
    "The [Jaynes-Cummings](https://en.wikipedia.org/wiki/Jaynes%E2%80%93Cummings_model) (JC) Hamiltonian is a important theoretical model describing a two-level system interacting with a resonator. It describes how an atom or qubit fundamentally interacts with light. It is a powerful building block for modeling and designing many superconducting qubit systems and can be extended to describe many of the interactions in a superconducting qubit system. In practice, it describes the physics by which qubits can be controlled by external control pulses and the readout process used to determine their state.\n",
    "\n",
    "![alt text 1](images/JC_model.png)\n",
    "\n",
    "Figure 2. A two-level quantum system such as a qubit or an atom interacting with a light field confined by a resonator. The JC model describes this interaction. Image credit: Wikipedia.\n",
    "\n",
    "\n",
    "The Hamiltonian can be simplified into the following three principal terms, by taking the rotating wave approximation, and dropping constant terms.\n",
    "\n",
    "$\\hat{H}_{JC} = \\hat{H}_{cavity} +\\hat{H}_{qubit} +\\hat{H}_{interaction} $\n",
    "\n",
    "with \n",
    "\n",
    "$\\hat{H}_{cavity} = \\hbar \\omega_c \\hat a^\\dagger_c \\hat a_c$ \n",
    "\n",
    "$\\hat{H}_{qubit} = \\hbar \\omega_q \\hat \\sigma_+ \\hat \\sigma_-$ \n",
    "\n",
    "$\\hat{H}_{interaction} = \\hbar g_c (\\hat \\sigma_+ \\hat a_c + \\hat \\sigma_- \\hat a^\\dagger_c)$ \n",
    "\n",
    "In this section, we will simulate JC Hamiltonian. You will learn to:\n",
    "- Define the dimensions of the system\n",
    "- Construct the Hamiltonian with CUDA-Q `operators`\n",
    "- Define the initial state of the system\n",
    "- Execute the simulation with `cudaq.evolve()`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import necessary packages\n",
    "import cudaq\n",
    "from cudaq import boson, Schedule, ScipyZvodeIntegrator, spin, RungeKuttaIntegrator\n",
    "import numpy as np\n",
    "import cupy as cp\n",
    "import os\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by setting the backend target to `dynamics`. Then, we define the degrees of freedom, specifying the number of levels associated with each one. We can then construct the Hamiltonian by applying the correct operators to the relevant degrees of freedom."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the target to our dynamics simulator\n",
    "cudaq.set_target(\"dynamics\")\n",
    "\n",
    "# System dimensions: atom (2-level system) and cavity (2-level system)\n",
    "dimensions = {0: 2, 1: 2}\n",
    "\n",
    "# Alias for commonly used operators\n",
    "# Cavity operators\n",
    "a = boson.annihilate(1)\n",
    "a_dag = boson.create(1)\n",
    "\n",
    "# Atom operators\n",
    "sm = boson.annihilate(0)\n",
    "sm_dag = boson.create(0)\n",
    "\n",
    "# Defining the Hamiltonian for the system: self-energy terms and cavity-atom interaction term.\n",
    "H_cav = 2 * np.pi * boson.number(1)\n",
    "H_qubit = 2 * np.pi * boson.number(0) \n",
    "H_int = 2 * np.pi * 0.25 * (sm * a_dag + sm_dag * a)\n",
    "hamiltonian = H_cav + H_qubit + H_int\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Initialize the states of the system in cupy arrays and define the time schedule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial state of the system\n",
    "# Qubit in ground state\n",
    "qubit_state = cp.array([[1.0, 0.0], [0.0, 0.0]], dtype=cp.complex128)\n",
    "\n",
    "# Cavity in a state which has 1 photon initially\n",
    "cavity_state = cp.zeros((2, 2), dtype=cp.complex128)\n",
    "cavity_state[1][1] = 1.0\n",
    "\n",
    "# Construct the Density Matrix\n",
    "rho0 = cudaq.State.from_data(cp.kron(cavity_state, qubit_state))\n",
    "\n",
    "# Define our timesteps\n",
    "steps = np.linspace(0, 10, 201)\n",
    "schedule = Schedule(steps, [\"time\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Evolve! Various observables can be collected at each time step. For this, we will track the population of both the qubit and the cavity in the absence of noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evolve the system\n",
    "evolution_result = cudaq.evolve(\n",
    "    hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    rho0,\n",
    "    observables=[boson.number(1), boson.number(0)],\n",
    "    collapse_operators=[],\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'No decay')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Collect results\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "ideal_results = [\n",
    "    get_result(0, evolution_result),\n",
    "    get_result(1, evolution_result)\n",
    "]\n",
    "\n",
    "# Plot the results\n",
    "plt.plot(steps, ideal_results[0])\n",
    "plt.plot(steps, ideal_results[1])\n",
    "plt.ylabel(\"Expectation value\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend((\"Cavity Photon Number\", \"Qubit Excitation Probability\"))\n",
    "plt.title(\"No decay\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see the qubit and cavity coherently exchanging population with a Rabi period of 2. Intuitively, a photon is being absorbed by the qubit and then re-emitted to the cavity. \n",
    "\n",
    "Recall that we set the coupling rate in the interation Hamiltonian to $g=\\pi/2$. From performing some analysis on the JC Hamiltonian, one can derive that this oscillation rate is $\\Omega_n = 2 g \\sqrt{n +1}$, where the effective subspace is spanned by $\\{\\ket{e,n},\\ket{g,n+1}\\}$. Is this consistent with what we observe?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1 - Simulating a many-photon Jaynes-Cummings Hamiltonian\n",
    "\n",
    "Let us now adjust the code to simulate a larger system. Adjust the code below to now simulate 20 photons in the cavity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# System dimensions: atom (2-level system) and cavity (20 photon system)\n",
    "dimensions = {0: 2, 1: 21}\n",
    "\n",
    "# Initial state of the system\n",
    "# Qubit in ground state\n",
    "qubit_state = cp.array([[1.0, 0.0], [0.0, 0.0]], dtype=cp.complex128)\n",
    "\n",
    "\n",
    "# Cavity in a state which has 20 photons initially\n",
    "cavity_state = cp.zeros((21, 21), dtype=cp.complex128)\n",
    "cavity_state[20][20] = 1.0\n",
    "\n",
    "# Construct the Density Matrix\n",
    "rho0 = cudaq.State.from_data(cp.kron(cavity_state, qubit_state))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evolve the system\n",
    "evolution_result = cudaq.evolve(\n",
    "    hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    rho0,\n",
    "    observables=[boson.number(1), boson.number(0)],\n",
    "    collapse_operators=[],\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '20 Photons')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Collect results\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "ideal_results = [\n",
    "    get_result(0, evolution_result),\n",
    "    get_result(1, evolution_result)\n",
    "]\n",
    "\n",
    "# Plot the results\n",
    "plt.plot(steps, ideal_results[0])\n",
    "plt.plot(steps, ideal_results[1])\n",
    "plt.ylabel(\"Expectation value\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend((\"Cavity Photon Number\", \"Qubit Excitation Probability\"))\n",
    "plt.title(\"20 Photons\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What do you observe about the new Rabi frequency? Is this consistent with what you expect?\n",
    "\n",
    "The Rabi frequency is proportional to $2 g \\sqrt{n+1}$, so $\\sqrt{20}=4.5$ times faster than the 1 photon case "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 2 - Simulating open quantum systems with the `collapse_operators`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the previous section we simulated an idealized quantum system, isolated from the environment, with no noise. This is equivalent to solving the Schrodinger equation. Let us now add the effects of the environment, by adding noise to the system via the `collapse_operators`. We will now solve the Lindbladian:\n",
    "\n",
    "$\\dot \\rho = -\\frac{i}{\\hbar} [H,\\rho]+ \\sum_i \\gamma_i (L_i \\rho L^\\dagger_i-\\frac{1}{2}\\{L^\\dagger_i L_i,\\rho\\})$\n",
    "\n",
    "where we can assign the dissipation terms $L_i$ and rates $\\gamma_i$.\n",
    "\n",
    "In this section we will learn to use the `collapse_operators` to model noise in the system.\n",
    "\n",
    "We can add a list of dissipation terms to the `collapse_operators` argument in `cudaq.evolve`. Let's add a photon loss mechanism with rate 0.1 with the `a` annihilation operator and observe what happens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'With decay')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma=np.sqrt(0.1)\n",
    "\n",
    "# Then, evolve the system with a collapse operator modeling cavity decay (leaking photons)\n",
    "evolution_result_decay = cudaq.evolve(\n",
    "    hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    rho0,\n",
    "    observables=[boson.number(1), boson.number(0)],\n",
    "    collapse_operators=[gamma * a],\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())\n",
    "\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "decay_results = [\n",
    "    get_result(0, evolution_result_decay),\n",
    "    get_result(1, evolution_result_decay)\n",
    "]\n",
    "\n",
    "plt.plot(steps, decay_results[0])\n",
    "plt.plot(steps, decay_results[1])\n",
    "plt.ylabel(\"Expectation value\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend((\"Cavity Photon Number\", \"Qubit Excitation Probability\"))\n",
    "plt.title(\"With decay\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2 - Adding additional jump operators $L_i$\n",
    "\n",
    "2a. Now instead of considering a photon loss mechanism, consider a photon excitation mechanism with rate 0.1. Initialize the cavity with one photon."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# System dimensions: atom (2-level system) and cavity (20 photon system)\n",
    "dimensions = {0: 2, 1: 21}\n",
    "\n",
    "# Initial state of the system\n",
    "# Qubit in ground state\n",
    "qubit_state = cp.array([[1.0, 0.0], [0.0, 0.0]], dtype=cp.complex128)\n",
    "\n",
    "# Cavity in a state which has 1 photon initially\n",
    "cavity_state = cp.zeros((21, 21), dtype=cp.complex128)\n",
    "cavity_state[1][1] = 1.0\n",
    "\n",
    "# Construct the Density Matrix\n",
    "rho0 = cudaq.State.from_data(cp.kron(cavity_state, qubit_state))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'With excitation')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma=np.sqrt(0.1)\n",
    "collapse_operators=[gamma * a_dag]\n",
    "\n",
    "# Then, evolve the system with a collapse operator modeling cavity decay (leaking photons)\n",
    "evolution_result_excitation = cudaq.evolve(\n",
    "    hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    rho0,\n",
    "    observables=[boson.number(1), boson.number(0)],\n",
    "    collapse_operators=collapse_operators,\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())\n",
    "\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "decay_results = [\n",
    "    get_result(0, evolution_result_excitation),\n",
    "    get_result(1, evolution_result_excitation)\n",
    "]\n",
    "\n",
    "plt.plot(steps, decay_results[0])\n",
    "plt.plot(steps, decay_results[1])\n",
    "plt.ylabel(\"Expectation value\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend((\"Cavity Photon Number\", \"Qubit Excitation Probability\"))\n",
    "plt.title(\"With excitation\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2b. Now add a dephasing term to qubit with rate `dephasing=0.4`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'With excitation and qubit dephasing')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma=np.sqrt(0.1)\n",
    "dephasing=np.sqrt(0.4)\n",
    "collapse_operators=[gamma * a_dag, dephasing * spin.z(0)]\n",
    "\n",
    "# Then, evolve the system with a collapse operator modeling cavity decay (leaking photons)\n",
    "evolution_result_excitation = cudaq.evolve(\n",
    "    hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    rho0,\n",
    "    observables=[boson.number(1), boson.number(0)],\n",
    "    collapse_operators=collapse_operators,\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())\n",
    "\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "decay_results = [\n",
    "    get_result(0, evolution_result_excitation),\n",
    "    get_result(1, evolution_result_excitation)\n",
    "]\n",
    "\n",
    "plt.plot(steps, decay_results[0])\n",
    "plt.plot(steps, decay_results[1])\n",
    "plt.ylabel(\"Expectation value\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend((\"Cavity Photon Number\", \"Qubit Excitation Probability\"))\n",
    "plt.title(\"With excitation and qubit dephasing\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 3 - Many qubits coupled to the resonator\n",
    "Let us now construct a model of several qubits coupled to a resonator. This is known as the Tavis-Cummings model. We define the dimensions of the system, construct the Hamiltonian assuming a distribution of qubit-resonator couplings near $\\pi/2$, qubit energies near $2\\pi$, and photon energies of $2\\pi$. Initialize all qubits in the ground state and with the resonator with 10 photons. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# System dimensions: atom (2-level system) and cavity (2-level system)\n",
    "no_qubits=6\n",
    "dimensions = {k: 11 if k == 0 else 2 for k in range(no_qubits+1)}\n",
    "\n",
    "# Define our timesteps\n",
    "steps = np.linspace(0, 10, 101)\n",
    "schedule = Schedule(steps, [\"time\"])\n",
    "\n",
    "# Cavity operators\n",
    "a = boson.annihilate(0)\n",
    "a_dag = boson.create(0)\n",
    "\n",
    "# Defining the Hamiltonian for the system: self-energy terms and cavity-atom interaction term.\n",
    "H_cav = 2 * np.pi * boson.number(0)\n",
    "\n",
    "# Qubit and interaction Hamiltonians\n",
    "def H_qubit_i(qubit, energy):\n",
    "    return energy * boson.number(qubit) \n",
    "def H_int_i(qubit, coupling):\n",
    "    return coupling * (boson.annihilate(qubit) * a_dag + boson.create(qubit) * a)\n",
    "\n",
    "# Qubit and coupling energies\n",
    "coupling = [np.pi/4 * random.gauss(1,0.1) for i in range(no_qubits)]\n",
    "qubit_energy = [2 * np.pi * random.gauss(1,0.1) for i in range(no_qubits)]\n",
    "\n",
    "hamiltonian = H_cav\n",
    "for qubit in range(1,no_qubits+1):\n",
    "    hamiltonian+=H_qubit_i(qubit, qubit_energy[qubit-1])+H_int_i(qubit, coupling[qubit-1])\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial state of the system\n",
    "\n",
    "# Cavity in a state which has 10 photons initially\n",
    "cavity_state = cp.zeros((11, 11), dtype=cp.complex128)\n",
    "cavity_state[10][10] = 1.0\n",
    "\n",
    "# Qubits in ground state\n",
    "qubit_g = cp.array([[1.0, 0.0], [0.0, 0.0]], dtype=cp.complex128)\n",
    "\n",
    "# Qubit in excited state\n",
    "qubit_e = cp.array([[0.0, 0.0], [0.0, 1.0]], dtype=cp.complex128)\n",
    "\n",
    "composite_state = cavity_state\n",
    "for i in range(1,no_qubits+1):\n",
    "    composite_state = cp.kron(qubit_g, composite_state)\n",
    "\n",
    "# Construct the Density Matrix\n",
    "rho0 = cudaq.State.from_data(composite_state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Optional: Add dissipation terms for each term\n",
    "T1=[abs(random.gauss(100,100)) for i in range(no_qubits+1)]\n",
    "T1[0]=50\n",
    "\n",
    "gamma=[1/np.sqrt(T1[i]) for i in range(no_qubits+1)]\n",
    "collapse_operators=[gamma[i]*boson.annihilate(i) for i in range(no_qubits+1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the collapse operators\n",
    "collapse_operators=[]\n",
    "\n",
    "# Evolve the system\n",
    "evolution_result = cudaq.evolve(\n",
    "    hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    rho0,\n",
    "    observables=[boson.number(i) for i in range(no_qubits+1)],\n",
    "    collapse_operators=collapse_operators,\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Many qubits coupled to a resonator')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "tc_results = [\n",
    "    get_result(i, evolution_result) for i in range(no_qubits+1)\n",
    "]\n",
    "plt.plot()\n",
    "\n",
    "for i in range(no_qubits):\n",
    "    plt.plot(steps, tc_results[i])\n",
    "plt.ylabel(\"Expectation value\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.legend((\"Cavity Photon Number\", \"Qubit Excitation Probability\"))\n",
    "plt.title(\"Many qubits coupled to a resonator\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now see the effect of multiple qubits exchanging excitations at different rates with the photons in the resonator"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
